Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

A control problem in a polluted environment

D M Thomas1, T W Snell, S M Jaffar

  • 1School of Mathematics, Georgia Tech, Atlanta, Georgia 30332, USA.

Mathematical Biosciences
|April 15, 1996
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Integration of full divertor detachment with improved core confinement for tokamak fusion plasmas.

Nature communications·2021
Same author

Diagnosis and management of tropomyosin receptor kinase (TRK) fusion sarcomas: expert recommendations from the World Sarcoma Network.

Annals of oncology : official journal of the European Society for Medical Oncology·2020
Same author

First Evidence of Local E×B Drift in the Divertor Influencing the Structure and Stability of Confined Plasma near the Edge of Fusion Devices.

Physical review letters·2020
Same author

Estimating the performance of lithium beam measurements of current density and electron density in an H-mode pedestal.

The Review of scientific instruments·2018
Same author

Gender differences in doxorubicin pharmacology for subjects with chemosensitive cancers of young adulthood.

Cancer chemotherapy and pharmacology·2018
Same author

Human energy expenditure: advances in organ-tissue prediction models.

Obesity reviews : an official journal of the International Association for the Study of Obesity·2018
Same journal

The stability and bifurcations of ecosystems within resource constraints - Dedicated to Professor Shigui Ruan on the occasion of his 60th birthday.

Mathematical biosciences·2026
Same journal

The hydra and hormetic effects in a single discrete-time overcompensation model.

Mathematical biosciences·2026
Same journal

Seasonal impacts on brucellosis transmission mediated by live sheep supply-demand dynamics.

Mathematical biosciences·2026
Same journal

Optimal controls and cost-effectiveness analysis on the transmission dynamics of early blight disease in tomatoes.

Mathematical biosciences·2026
Same journal

Temperature-dependent dynamics and allee effect thresholds mediate fourfold cusp stability in biological control of invasive vectors.

Mathematical biosciences·2026
Same journal

Dynamics of a stochastic tumor-immune interaction system with an Ornstein-Uhlenbeck process.

Mathematical biosciences·2026
See all related articles

This study presents a mathematical model for controlling toxicant input to protect populations from pollution. It determines optimal pollution levels (M) to ensure population survival without reducing carrying capacity.

Area of Science:

  • Environmental science
  • Mathematical biology
  • Ecotoxicology

Background:

  • Population-toxicant interactions are crucial for environmental remediation.
  • Mathematical models are essential for understanding these dynamics.
  • Controlling environmental pollution below a threshold (M) is a key challenge.

Purpose of the Study:

  • To develop a mathematical model for population-toxicant interactions under a pollution threshold.
  • To determine optimal toxicant input strategies for population survival.
  • To establish conditions for setting the pollution threshold (M) to maintain population carrying capacity.

Main Methods:

  • A control problem framework was used to model toxicant input.
  • An explicit formula for the input function was computed.

Related Experiment Videos

  • Analytical dynamics of population were studied.
  • Numerical and experimental data were used for validation.

    • Main Results:

    • An explicit formula for toxicant input was derived.
    • Conditions for setting the pollution threshold (M) were established.
    • Population survival without significant carrying capacity reduction was demonstrated.

    Conclusions:

    • The developed model provides a method to control toxicant input for environmental remediation.
    • Setting an appropriate pollution threshold (M) is critical for ensuring population viability.
    • The findings are supported by numerical simulations and experimental data.